So I was about to win a game (like mate in a couple) and then the live chess gets disconnected and it was gone when I reconnected. I have had this happen many times but this time I started moving my mouse around and clicking on pieces and it still became disconnected. How do I fix this is really annoying

Unfortunately once you are disconnected from a game in the Live Chess there is no way to reconnect to it.

I would recommend that you try clearing your browser cache/temporary internet files (http://support.chess.com/index.php?_m=troubleshooter&_a=steps&troubleshootercatid=1&parentid=0) as this may help to correct any connection issues you are experiencing.

Also at http://www.chess.com/livechess you will find a notice at the top of the page which recommends a web browser which will give you the most stable connection to the Live Chess.

If you don't use Internet Explorer then you should be fine. I would suggest you use FireFox, i haven't experienced any lag or any disconnections after i changed to FireFox. 

http://www.mozilla.com/en-US/firefox/

 If IE is the problem, then Live Chess could be eliminating many potential subscribers.

I disconnect about 10% of my games using Firefox.  It is very frustrating. 

I'm a Firefox user as well, and though the disconnections aren't unbearable, they're quite common. How long is live chess expected to remain a beta?

Does your opponent get notified that it is a disconnection and not an abandonment?  Wouldn't want people thinking I was being rude.  I don't think the browser makes a difference, Firefox and IE have the same disconnect rates for me. 

I use Chrome and it never disconnects me. The only time I have been disconnected was when I was using a wireless router and the signal got lost; but that's not a browser or live chess problem :p